Verify if is the inverse of .
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To verify the inverse, check if and .
Evaluate .
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Set up the composite result function.
Evaluate by substituting in the value of into .
Combine the opposite terms in .
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Subtract from .
Add and .
Evaluate .
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Set up the composite result function.
Evaluate by substituting in the value of into .
Combine the opposite terms in .
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Add and .
Add and .
Since and , then is the inverse of .
Algebra Examples
Find the Inverse f(x)=-x+1
Interchange the variables.
Rewrite the equation as .
Subtract from both sides of the equation.
Divide each term in by and simplify.
Dividing two negative values results in a positive value.
Move the negative one from the denominator of .
Replace with to show the final answer.
Verify if is the inverse of .
To verify the inverse, check if and .
Set up the composite result function.
Evaluate by substituting in the value of into .
Apply the distributive property.
Combine the opposite terms in .
Set up the composite result function.
Evaluate by substituting in the value of into .
Apply the distributive property.
Combine the opposite terms in .
Since and , then is the inverse of .
Algebra Examples
Find the Inverse f(x)=1/x
Step 2
Interchange the variables.
Step 3
Rewrite the equation as .
Find the LCD of the terms in the equation.
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
The LCM of one and any expression is the expression.
Multiply each term in by to eliminate the fractions.
Multiply each term in by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the equation as .
Divide each term in by and simplify.
Cancel the common factor of .
Cancel the common factor.
Step 4
Replace with to show the final answer.
Step 5
Verify if is the inverse of .
To verify the inverse, check if and .
Set up the composite result function.
Evaluate by substituting in the value of into .
Multiply the numerator by the reciprocal of the denominator.
Set up the composite result function.
Evaluate by substituting in the value of into .
Multiply the numerator by the reciprocal of the denominator.
Since and , then is the inverse of .
Step 5
Verify if is the inverse of .
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To verify the inverse, check if and .
Evaluate .
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Set up the composite result function.
Evaluate by substituting in the value of into .
Combine the opposite terms in .
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Add and .
Add and .
Evaluate .
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Set up the composite result function.
Evaluate by substituting in the value of into .
Combine the opposite terms in .
Tap for more steps...
Subtract from .
Add and .
Since and , then is the inverse of .